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Finding the Third Proportional to 380,454 and 803,346

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Solution

The third proportional to 380,454 and 803,346 is: 1,696,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,454 : 803,346 = 803,346 : x
  2. Step 2: Convert to fraction form
    380,454/803,346 = 803,346/x
  3. Step 3: Cross multiply
    380,454x = 803,346 × 803,346
  4. Step 4: Simplify right side
    380,454x = 645,364,795,716
  5. Step 5: Solve for x
    x = 645,364,795,716/380,454
  6. Step 6: Final answer
    x = 1,696,301.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.